The impulse response of a causal all-pole model of the form of Figure 11.1 and Eq. (11.3...

The impulse response of a causal all-pole model of the form of Figure 11.1 and Eq. (11.3) with system parameters G and {a_k} satisfies the difference equation

(a) The autocorrelation function of the impulse response of the system is

By substituting Eq. (P11.3-1) into the equation for r_hh [−m], and using the fact that r_hh[−m] = r_hh[m] show that

(b) Using the same approach as in (a), now show that